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received from Tue 31 Dec 96 01:00:01 GMT to Wed 1 Jan 97 01:00:01 GMT
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Paper: hep-th/9612253
From: "Konstein S.E." <kons...@sci.lpi.msk.su>
Date: Tue, 31 Dec 1996 19:13:09 +0300
Title: Supertraces on the algebra of observables of the rational Calogero model
based on the classical root system
Authors: S. E. Konstein
Comments: 10 pages, LATEX
\\
A complete set of supertraces on the algebras of observables of the rational
Calogero models with harmonic interaction based on the classical root systems
of B_N, C_N and D_N types is found. These results extend the results known for
the case A_N. It is shown that there exist Q independent supertraces where
Q(B_N)=Q(C_N) is a number of partitions of N into a sum of positive integers
and Q(D_N) is a number of partitions of N into a sum of positive integers with
even number of even integers.
\\ (http://xxx.lanl.gov/abs/hep-th/9612253 , 10kb)
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Paper: hep-th/9612254
From: OOG...@theor3.lbl.gov
Date: Mon, 30 Dec 1996 17:07:56 -0800
Title: TASI Lectures on Perturbative String Theories
Authors: Hirosi Ooguri and Zheng Yin (UC Berkeley/LBNL)
Comments: 70 pages, 11 postscript figures
Report-no: LBNL-39774, UCB-PTH-96/64
\\
This lecture note is based on a course on string theories given by Hirosi
Ooguri in the first week of TASI 96 Summer School at Boulder, Colorado. It is
an introductory course designed to provide students with minimum knowledge
before they attend more advanced courses on non-perturbative aspects of string
theories in the School. The course consists of five lectures: 1. Bosonic
String, 2. Toroidal Compactifications, 3. Superstrings, 4. Heterotic Strings,
and 5. Orbifold Compactifications.
\\ (http://xxx.lanl.gov/abs/hep-th/9612254 , 152kb)
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Paper: hep-th/9612255
From: Igor Kanatczikow <ika...@ippt.gov.pl>
Date: Tue, 31 Dec 1996 21:57:26 +0100 (MET)
Title: Novel algebraic structures from the polysymplectic form in field theory
Author: I. V. Kanatchikov
Comments: 6 pp, LaTeX, to appear in Proc. of the 21-th Int. Colloq. on Group
Theory and its Applications, Goslar (Germany) Jul. 1996
\\
The polysymplectic $(n+1)$-form, as an analogue of the symplectic form for
the DeDonder-Weyl polymomentum Hamiltonian formulation of field theory, is
defined and the corresponding Poisson brackets on differential forms are
constructed. The analogues of the Poisson algebra are shown to be generalized
(non-commutative and higher-order) Gerstenhaber algebras which are defined in
the text.
\\ (http://xxx.lanl.gov/abs/hep-th/9612255 , 9kb)
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Paper (*cross-listing*): physics/9612015
From: Robert Coquereaux <robert.c...@cptsu5.univ-mrs.fr>
Date: Mon, 30 Dec 1996 10:28:37 MST
Title: Differentials of higher order in non commutative differential geometry
Authors: Robert Coquereaux (CPT, CNRS, Marseille, France)
Comments: 17 pages, LaTeX
Report-no: CPT-96/P.3403
Subj-class: Mathematical Methods in Physics
\\
In differential geometry, the notation d^n f along with the corresponding
formalism has fallen into disuse since the birth of exterior calculus. However,
differentials of higher order are useful objects that can be interpreted in
terms of functions on iterated tangent bundles (or in terms of jets). We
generalize this notion to the case of non commutative differential geometry.
For an arbitrary associative algebra A, one already knows how to define the
differential algebra Omega(A) of universal differential forms over A. We define
Leibniz forms of order n (these are not forms of degree n, ie they are not
elements of Omega^n A) as particular elements of what we call the ``iterated
frame algebra'' of order n, F_n A, which is itself defined as the 2^n tensor
power of the algebra A. We give a system of generators for this iterated frame
algebra and identify the A-module of forms of order n as a particular vector
subspace included in the space of universal one-forms built over the iterated
frame algebra of order n-1. We study the algebraic structure of these objects,
recover the case of the commutative differential calculus of order n (Leibniz
differentials) and give a few examples.
\\ (http://xxx.lanl.gov/abs/physics/9612015 , 18kb)
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Paper (*cross-listing*): q-alg/9612033
From: Kuroki Gen <kur...@math.tohoku.ac.jp>
Date: Sun, 29 Dec 96 05:14:47 JST
Date (revised): Wed, 1 Jan 97 06:51:43 JST
Title: Twisted Wess-Zumino-Witten models on elliptic curves
Authors: Gen Kuroki and Takashi Takebe
Comments: 55 pages, LaTeX2e with AMS LaTeX package. Version 1.2t, minor
correction of typographical errors, minor change of bibliography format
\\
Investigated is a variant of the Wess-Zumino-Witten model called a twisted
WZW model, which is associated to a certain Lie group bundle on a family of
elliptic curves. The Lie group bundle is a non-trivial bundle with flat
connection and related to the classical elliptic r-matrix. (The usual
(non-twisted) WZW model is associated to a trivial group bundle with trivial
connection on a family of compact Riemann surfaces and a family of its
principal bundles.) The twisted WZW model on a fixed elliptic curve at the
critical level describes the XYZ Gaudin model. The elliptic
Knizhnik-Zamolodchikov equations associated to the classical elliptic r-matrix
appear as flat connections on the sheaves of conformal blocks in the twisted
WZW model.
\\ (q-alg/9612033 , 55kb)
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Paper (*cross-listing*): q-alg/9612036
From: Kimura Kazuhiro <kim...@kurims.kyoto-u.ac.jp>
Date: Tue, 31 Dec 96 01:54:23 JST
Title: q-differential operator representation of the quantum superalgebra
Uq(sl(M+1|N+1))
Author: Kazuhiro Kimura
Comments: 7pages, AMS-Tex, no figure
Report-no: OIT-96-1
\\
A representation of the quantum superalgebra Uq(sl(M+1|N+1)) is constructed
based on the q-differential operators acting on the coherent states
parameterized by coordinates. These coordinates correspond to the local ones of
the flag manifold. This realization provides us with a guide to construct the
free field realization for the quantum affine superalgebra Uq^(sl(M+1|N+1)) at
arbitrary level.
\\ (q-alg/9612036 , 7kb)
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Paper (*cross-listing*): solv-int/9612012
From: har...@CRM.UMontreal.CA (John Harnad)
Date: Thu, 26 Dec 1996 18:15:18 -0500 (EST)
Title: Bispectral Operators of Rank 1 and Dual Isomonodromic Deformations
Author: J. Harnad
Comments: 16pgs, AMSTeX
Report-no: CRM 2443 (1996)
\\
A comparison is made between bispectral operator pairs and dual pairs of
isomonodromic deformation equations. Through examples, it is shown how
operators belonging to rank one bispectral algebras may be viewed equivalently
as defining 1-parameter families of rational first order differential operators
with matricial coefficients on the Riemann sphere, whose monodromy is trivial.
By interchanging the r\^oles of the two variables entering in the bispectral
pair, a second 1-parameter family of operators with trivial monodromy is
obtained, which may be viewed as the dual isomonodromic deformation system.
\\ (http://xxx.lanl.gov/abs/solv-int/9612012 , 14kb)
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Paper: hep-th/9607110
replaced with revised version Tue, 31 Dec 1996 16:50:59 +0000 (GMT)
Title: Weyl-Gauging and Conformal Invariance
Authors: A. Iorio, L. O'Raifeartaigh, I. Sachs, C. Wiesendanger
Comments: Extended version including discussion of arbitrary spin in any
dimensions. References added
Report-no: DIAS-STP 96-11
\\ (http://xxx.lanl.gov/abs/hep-th/9607110 , 16kb)
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Paper (*cross-listing*): hep-lat/9609042
replaced with revised version Tue, 31 Dec 1996 16:04:11 -0500 (EST)
Title: Quantum Link Models: A Discrete Approach to Gauge Theories
Authors: S. Chandrasekharan and U.-J. Wiese (MIT)
Comments: 18 pages, Latex, no figures, final version to appear in Nuclear
Physics B, references to earlier work by Horn, Orland and Rohrlich included
Report-no: CTP 2573
\\ (http://xxx.lanl.gov/abs/hep-lat/9609042 , 15kb)
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